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I have to sent these questions solved at my teacher till 12:00 PM and i cant solve them please help me.. here are the questions

http://i46.tinypic.com/25zqcjt.jpg http://i49.tinypic.com/mj7jgx.jpg

if you can solve them and then take a pic of the solutions it would be a huge favor. Thanks

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This is not a forum for people to do your work for you. –  Paul Raff Jan 25 '13 at 17:43
@arti: Welcome to MSE! Even if you were not able to solve them, it would help the MSE Community to see what you have tried as that will help us to provide comments and guidance because we currently have no idea where you stand in how to approach them. Regards –  Amzoti Jan 25 '13 at 17:48

1 Answer 1

Here’s a large hint for one of them.

(22) Let $r=|OE|$ be the radius of the smaller circle and $R=|OC|$ the radius of the larger circle. Let $d$ be the distance from $O$ to the line $\overline{AB}$. Then by the Pythagorean theorem you have

$$\begin{align*} &r^2+36=R^2,\\ &d^2+20=r^2,\text{ and}\\ &d^2+y^2=R^2\;, \end{align*}$$

where $y=\frac12|AB|$. It’s possible to solve these equations for $y$ and hence for $|AB|$.

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